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41020431063312 = 243171313171210541
BaseRepresentation
bin10010101001110110100000…
…01110001101100100010000
312101020111220100222222202010
421110323100032031210100
520334034320323011222
6223124305331222520
711432425344006021
oct1124732016154420
9171214810888663
1041020431063312
1112085737a31258
12472604b447a40
1319b729663747c
14a1b584176c48
154b207ee9b80c
hex254ed038d910

41020431063312 has 160 divisors (see below), whose sum is σ = 113416202934144. Its totient is φ = 12730619699200.

The previous prime is 41020431063253. The next prime is 41020431063323. The reversal of 41020431063312 is 21336013402014.

It is a self number, because there is not a number n which added to its sum of digits gives 41020431063312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33280762 + ... + 34491302.

Almost surely, 241020431063312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41020431063312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56708101467072).

41020431063312 is an abundant number, since it is smaller than the sum of its proper divisors (72395771870832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41020431063312 is a wasteful number, since it uses less digits than its factorization.

41020431063312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211017 (or 1211011 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 41020431063312 its reverse (21336013402014), we get a palindrome (62356444465326).

The spelling of 41020431063312 in words is "forty-one trillion, twenty billion, four hundred thirty-one million, sixty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 131 136 204 262 272 317 393 408 524 634 786 816 951 1048 1268 1572 1902 2096 2227 2536 3144 3804 4454 5072 5389 6288 6681 7608 8908 10778 13362 15216 16167 17816 21556 26724 32334 35632 41527 43112 53448 64668 83054 86224 106896 124581 129336 166108 249162 258672 332216 498324 664432 705959 996648 1210541 1411918 1993296 2117877 2421082 2823836 3631623 4235754 4842164 5647672 7263246 8471508 9684328 11295344 14526492 16943016 19368656 20579197 29052984 33886032 41158394 58105968 61737591 82316788 123475182 158580871 164633576 246950364 317161742 329267152 383741497 475742613 493900728 634323484 767482994 951485226 987801456 1151224491 1268646968 1534965988 1902970452 2302448982 2537293936 2695874807 3069931976 3805940904 4604897964 5391749614 6139863952 6523605449 7611881808 8087624421 9209795928 10783499228 13047210898 16175248842 18419591856 19570816347 21566998456 26094421796 32350497684 39141632694 43133996912 50270136107 52188843592 64700995368 78283265388 100540272214 104377687184 129401990736 150810408321 156566530776 201080544428 301620816642 313133061552 402161088856 603241633284 804322177712 854592313819 1206483266568 1709184627638 2412966533136 2563776941457 3418369255276 5127553882914 6836738510552 10255107765828 13673477021104 20510215531656 41020431063312